In case anyone cares about an update, here it is.
Amex basically gave me the middle finger. They said they follow the merchants' policy and since their policy is no refunds you cannot get any money back. The merchant provided them with the contract we signed for the cabinetry along with a letter outlining our communication and the fact that they ordered replacements for us (even though this was unauthorized and never requested by us.) Never mind that it was a bait and switch and what they sent was total junk and is now going to be replaced by even more junk, if they don't offer refunds, Amex will follow the policy of the merchant. I thought that was a dispute was made for.
From AMEX:
Please note that as mentioned in the letter, we as a credit card service provider cannot change merchant's policies. If merchant's contract state that the amount is not refundable, we would not be able to close the dispute in your favor.
Anywhere to go from here?